The Half-Factorial Property in Polynomial Rings

This dissertation investigates the following question: If R is a half-factorial domain (HFD) and x is an indeterminate, under what conditions is the polynomial ring R[x] an HFD? The question has been answered in a few special cases. A classical result of Gauss states that if R is a UFD, then R[x] is...

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Bibliographic Details
Main Author: Batell, Mark Thomas
Format: Others
Published: North Dakota State University 2018
Online Access:https://hdl.handle.net/10365/27311